Problems and Methods of Optimal Control
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Book 1
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Book 1
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Problems and Methods of Optimal Control: (286 Mathematics and Its Applications)

Problems and Methods of Optimal Control: (286 Mathematics and Its Applications)


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About the Book

This volume is devoted to a systematic presentation of constructive analytical perturbation methods relevant to optimal control problems for nonlinear systems. Chapter 1 deals with the averaging method for optimal control problems of quasilinear oscillatory systems with slowly-varying parameters. In Chapter 2, asymptotic methods for solving boundary-value problems are considered. The averaging method for nonlinear rotatory-oscillatory systems is developed in Chapters 3 and 4. The methods developed in the first four chapters are applied to some mechanical systems of practical interest in the following two chapters. Small parameter techniques for regularly perturbed systems having an invariant norm are developed in Chapter 7. The final chapter considers new approaches and studies some other aspects of perturbation theory consistent with the analysis of controlled systems. This text is suitable for applied mathematicians and engineers interested in applied problems of dynamic systems control.

Table of Contents:
1. Averaging Method in Optimal Control Problems for Quasilinear Oscillatory Systems.- 2. The Foundation of Asymptotic Methods for Controlled Quasilinear Systems and Some Generalizations.- 3. Averaging Method in Optimal Control Problems for Single-Frequency Essentially Nonlinear Systems.- 4. The Foundation of Asymptotic Methods of the Separation of Motions in Essentially Nonlinear Controlled Systems.- 5. Control of Motions of “Pendulum-Type” Systems.- 6. Optimal Control of Orbital Motions and Rotations of Spacecrafts Using “Low Thrust”.- 7. Approximate Synthesis of Optimal Control for Perturbed Systems with Invariant Norm.- 8. Other Prospects for Developing Methods of Optimal Control Synthesis.- References.- Key Index.


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Product Details
  • ISBN-13: 9780792328551
  • Publisher: Kluwer Academic Publishers
  • Publisher Imprint: Kluwer Academic Publishers
  • Height: 235 mm
  • No of Pages: 344
  • Returnable: Y
  • Width: 155 mm
  • ISBN-10: 0792328558
  • Publisher Date: 31 May 1994
  • Binding: Hardback
  • Language: English
  • Returnable: Y
  • Series Title: 286 Mathematics and Its Applications


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